Solving Riemann problem using Fredholm integral equation of the second kind
To solve Riemann problem on a simply connected region, its boundary condition is transformed to a Fredholm integral equation of the second kind with continuous kernel, which is easily solved numerically. The numerical solution must satisfy an addition condition to yield a solution to the Riemann pro...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
Jabatan Matematik Fakulti Sains Universiti Teknologi Malaysia
2002
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/3857/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Teknologi Malaysia |
| id |
my.utm.3857 |
|---|---|
| record_format |
eprints |
| spelling |
my.utm.38572017-10-24T07:05:01Z http://eprints.utm.my/id/eprint/3857/ Solving Riemann problem using Fredholm integral equation of the second kind Murid, Ali Hassan Mohamed Razali, Mohd. R.M Nasser, Mohamed M.S. QA Mathematics To solve Riemann problem on a simply connected region, its boundary condition is transformed to a Fredholm integral equation of the second kind with continuous kernel, which is easily solved numerically. The numerical solution must satisfy an addition condition to yield a solution to the Riemann problem. The advantage of this approach is that we can solve Riemann problem for general simply connected region without the need to use conformal mapping. Some numerical implementations are presented. Jabatan Matematik Fakulti Sains Universiti Teknologi Malaysia 2002 Article PeerReviewed Murid, Ali Hassan Mohamed and Razali, Mohd. R.M and Nasser, Mohamed M.S. (2002) Solving Riemann problem using Fredholm integral equation of the second kind. Prosiding Simposium Kebangsaan Sains Matematik Ke-10 Jabatan Matematik Fakulti Sains Universiti Teknologi Malaysia dan Persatuan Sains Matematik Malaysia . pp. 171-178. |
| institution |
Universiti Teknologi Malaysia |
| building |
UTM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Teknologi Malaysia |
| content_source |
UTM Institutional Repository |
| url_provider |
http://eprints.utm.my/ |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Murid, Ali Hassan Mohamed Razali, Mohd. R.M Nasser, Mohamed M.S. Solving Riemann problem using Fredholm integral equation of the second kind |
| description |
To solve Riemann problem on a simply connected region, its boundary condition is transformed to a Fredholm integral equation of the second kind with continuous kernel, which is easily solved numerically. The numerical solution must satisfy an addition condition to yield a solution to the Riemann problem. The advantage of this approach is that we can solve Riemann problem for general simply connected region without the need to use conformal mapping. Some numerical implementations are presented. |
| format |
Article |
| author |
Murid, Ali Hassan Mohamed Razali, Mohd. R.M Nasser, Mohamed M.S. |
| author_facet |
Murid, Ali Hassan Mohamed Razali, Mohd. R.M Nasser, Mohamed M.S. |
| author_sort |
Murid, Ali Hassan Mohamed |
| title |
Solving Riemann problem using Fredholm integral equation of the second kind |
| title_short |
Solving Riemann problem using Fredholm integral equation of the second kind |
| title_full |
Solving Riemann problem using Fredholm integral equation of the second kind |
| title_fullStr |
Solving Riemann problem using Fredholm integral equation of the second kind |
| title_full_unstemmed |
Solving Riemann problem using Fredholm integral equation of the second kind |
| title_sort |
solving riemann problem using fredholm integral equation of the second kind |
| publisher |
Jabatan Matematik Fakulti Sains Universiti Teknologi Malaysia |
| publishDate |
2002 |
| url |
http://eprints.utm.my/id/eprint/3857/ |
| _version_ |
1643643905922564096 |